On Wed, Dec 11, 2002 at 03:52:13PM +1000, Anthony Towns wrote: > If you want a more complicated example, try: > 40 A B C F (A requires 3:1 supermajority, F is the default option) > 10 C B F A > 10 F C B A > which Condorcet would rank as A first, B second, C third and F last; > but under Hybrid would be treated as: > F defeats A (60:40) (scaled 3:1 from 20:40) > C defeats F (50:10) > B defeats F (50:10) > A defeats B (40:20) <--- every defeat below this one must be dropped > B defeats C (40:20) > A defeats C (40:20) > with the three weakest defeats eliminated, leaving F defeats A, C defeats > F, B defeats F, and a draw between B and C. I'm sorry, I didn't follow the special casing you do for "superdefeats". Here's the corrected example: 40 A B C F (A requires 3:1 supermajority, F is the default option) 10 C B F A 10 F C A B F defeats A (60:40) (scaled 3:1 from 20:40) C defeats F (50:10) B defeats F (50:10) A defeats B (50:10) <--- every defeat below this one must be dropped B defeats C (40:20) A defeats C (40:20) AdC gets dropped since it's weakest and involves A; BdC gets dropped since it's weakest; then AdB gets dropped since it's equal weakest and involves A. Cheers, aj -- Anthony Towns <aj@humbug.org.au> <http://azure.humbug.org.au/~aj/> I don't speak for anyone save myself. GPG signed mail preferred. ``If you don't do it now, you'll be one year older when you do.''
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